CIE L*C*h(a*b*) Rendered in Lab Space 

The coordinates in the CIE color model are derived from CIE using a cylindrical transformation that makes them easier to comprehend.

Use ChromaticityPlot3D to visualize the coordinate relationship between these two models.

In[1]:=

X ChromaticityPlot3D["LCH", "LAB", Mesh -> Full, MeshStyle -> Black]

Out[1]=